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Finding the Fourth Proportional to 1,010.68, 1,515.71 and 280.06

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Solution

The fourth proportional to 1,010.68, 1,515.71 and 280.06 is: 420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.68 : 1,515.71 = 280.06 : x
  2. Step 2: Convert to fraction form
    1,010.68/1,515.71 = 280.06/x
  3. Step 3: Cross multiply
    1,010.68x = 1,515.71 × 280.06
  4. Step 4: Simplify right side
    1,010.68x = 424,486.65
  5. Step 5: Solve for x
    x = 424,486.65/1,010.68
  6. Step 6: Final answer
    x = 420.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.